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1398545640 = 2332510736307
BaseRepresentation
bin101001101011100…
…0001110011101000
310121110121110221200
41103113001303220
510331011430030
6350435404200
746441304352
oct12327016350
93543543850
101398545640
11658496048
12330453660
1319398c7cb
14d3a540d2
1582ba8d60
hex535c1ce8

1398545640 has 96 divisors (see below), whose sum is σ = 4587878880. Its totient is φ = 369449856.

The previous prime is 1398545623. The next prime is 1398545641. The reversal of 1398545640 is 465458931.

1398545640 is a `hidden beast` number, since 1 + 3 + 9 + 85 + 4 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1398545641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20367 + ... + 56673.

It is an arithmetic number, because the mean of its divisors is an integer number (47790405).

Almost surely, 21398545640 is an apocalyptic number.

1398545640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1398545640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293939440).

1398545640 is an abundant number, since it is smaller than the sum of its proper divisors (3189333240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1398545640 is a wasteful number, since it uses less digits than its factorization.

1398545640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36431 (or 36424 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1398545640 is about 37397.1341147955. The cubic root of 1398545640 is about 1118.3014325199.

The spelling of 1398545640 in words is "one billion, three hundred ninety-eight million, five hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 180 214 321 360 428 535 642 856 963 1070 1284 1605 1926 2140 2568 3210 3852 4280 4815 6420 7704 9630 12840 19260 36307 38520 72614 108921 145228 181535 217842 290456 326763 363070 435684 544605 653526 726140 871368 1089210 1307052 1452280 1633815 2178420 2614104 3267630 3884849 4356840 6535260 7769698 11654547 13070520 15539396 19424245 23309094 31078792 34963641 38848490 46618188 58272735 69927282 77696980 93236376 116545470 139854564 155393960 174818205 233090940 279709128 349636410 466181880 699272820 1398545640